λ
Ratio Atlas

21,363,583

41 × 521063
Deficient Odd Composite

21,363,583 factors as 41 × 521063. Its 4 positive divisors give a proper-divisor sum of 521,105, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 41 × 521063
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 21,884,688
Proper Divisor Sum 521,105
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #21363497 ← → #21363593

Radix Representation

Decimal 21363583
Binary 1010001011111101101111111 (25 bits)
Octal 0o121375577
Hexadecimal 0x145FB7F

Divisor Catalog (4)

Collatz Trajectory (203 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

21,363,583 64,090,750 32,045,375 96,136,126 48,068,063 144,204,190 72,102,095 216,306,286 108,153,143 324,459,430 162,229,715 486,689,146 243,344,573 730,033,720 365,016,860 182,508,430 91,254,215 273,762,646 136,881,323 410,643,970 205,321,985 615,965,956 307,982,978 153,991,489 461,974,468 230,987,234 115,493,617 346,480,852 173,240,426 86,620,213 259,860,640 129,930,320 64,965,160 32,482,580 16,241,290 8,120,645 24,361,936 12,180,968 6,090,484 3,045,242 1,522,621 4,567,864 2,283,932 1,141,966 570,983 1,712,950 856,475 2,569,426 1,284,713 3,854,140 1,927,070 963,535 2,890,606 1,445,303 4,335,910 2,167,955 6,503,866 3,251,933 9,755,800 4,877,900

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